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JOURNALS // Avtomatika i Telemekhanika // Archive

Avtomat. i Telemekh., 2012 Issue 7, Pages 3–14 (Mi at4034)

This article is cited in 4 papers

Linear Systems

On maximal deviation of linear system

V. N. Zhermolenko

Gubkin Russian State University of Oil and Gas, Moscow, Russia

Abstract: An analytical solution of the B. V. Bulgakov problem of maximum of the norm of finite state of the stationary linear system with one control (perturbation) function taking values over an interval was proposed. The switching function of the worst relay perturbation was shown to depend on time and coordinates and be the product of the phase system vector, its transition matrix transposed to it, and the transposed column of the coefficients at perturbation.

Presented by the member of Editorial Board: B. T. Polyak

Received: 07.11.2011


 English version:
Automation and Remote Control, 2012, 73:7, 1117–1125

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© Steklov Math. Inst. of RAS, 2026